Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 163, Number 3, Pages 475–494
DOI: https://doi.org/10.4213/tmf6516 (Mi tmf6516) 		 
This article is cited in 43 scientific papers (total in 43 papers)

Stable exact solutions in cosmological models with two scalar fields

I. Ya. Aref'evaa, N. V. Bulatovb, S. Yu. Vernovc

a Steklov Mathematical Institute, RAS, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia
c Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (530 kB) Citations (43)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6516
Abstract: We consider the stability of isotropic solutions for two-field models in the Bianchi I metric. We prove that the sufficient conditions for Lyapunov stability in the Friedmann–Robertson–Walker metric ensure the stability under anisotropic perturbations in the Bianchi I metric and also under perturbations of the energy density for cold dark matter. We find sufficient conditions for the Lyapunov stability of isotropic fixed points for the system of Einstein equations. We use the superpotential method to construct stable kink-type solutions and obtain sufficient conditions on the superpotential for the Lyapunov stability of the corresponding exact solutions. We analyze the stability of isotropic kink-type solutions for models related to string field theory.
Keywords: cosmology, stability, Bianchi metric.
English version:
Theoretical and Mathematical Physics, 2010, Volume 163, Issue 3, Pages 788–803
DOI: https://doi.org/10.1007/s11232-010-0063-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. Ya. Aref'eva, N. V. Bulatov, S. Yu. Vernov, “Stable exact solutions in cosmological models with two scalar fields”, TMF, 163:3 (2010), 475–494; Theoret. and Math. Phys., 163:3 (2010), 788–803
Citation in format AMSBIB
\Bibitem{AreBulVer10}
\by I.~Ya.~Aref'eva, N.~V.~Bulatov, S.~Yu.~Vernov
\paper Stable exact solutions in cosmological models with two scalar fields
\jour TMF
\yr 2010
\vol 163
\issue 3
\pages 475--494
\mathnet{http://mi.mathnet.ru/tmf6516}
\crossref{https://doi.org/10.4213/tmf6516}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2730147}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010TMP...163..788A}
\transl
\jour Theoret. and Math. Phys.
\yr 2010
\vol 163
\issue 3
\pages 788--803
\crossref{https://doi.org/10.1007/s11232-010-0063-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000280090300012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77954669294}
Linking options:
  • https://www.mathnet.ru/eng/tmf6516
  • https://doi.org/10.4213/tmf6516
  • https://www.mathnet.ru/eng/tmf/v163/i3/p475
    • This publication is cited in the following 43 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:933
    Full-text PDF :214
    References:60
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024